%------------------------------------------------------------------------------
% File : Beagle---0.9.52
% Problem : SWV338-2 : TPTP v9.0.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox2/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox2/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% Computer : n004.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Apr 9 09:30:14 PM UTC 2025
% Result : Unsatisfiable 2.86s 1.72s
% Output : CNFRefutation 2.86s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 9
% Syntax : Number of formulae : 26 ( 13 unt; 0 typ; 0 def)
% Number of atoms : 46 ( 5 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 36 ( 16 ~; 20 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 17 ( 17 usr; 7 con; 0-3 aty)
% Number of variables : 23 ( 23 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ c_in > c_union > c_insert > c_Event_Oknows > #nlpp > c_Message_Osynth > c_Message_Oparts > c_Message_Omsg_OKey > c_Message_OkeysFor > c_Message_OinvKey > c_Message_Oanalz > c_Event_Oused > v_evsf > v_X > v_K > tc_nat > tc_Message_Omsg > c_Message_OsymKeys > c_Message_Oagent_OSpy
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(c_Event_Oknows,type,
c_Event_Oknows: ( $i * $i ) > $i ).
tff(v_K,type,
v_K: $i ).
tff(v_X,type,
v_X: $i ).
tff(c_Message_OkeysFor,type,
c_Message_OkeysFor: $i > $i ).
tff(c_Message_Oanalz,type,
c_Message_Oanalz: $i > $i ).
tff(c_Message_Oagent_OSpy,type,
c_Message_Oagent_OSpy: $i ).
tff(c_Message_Osynth,type,
c_Message_Osynth: $i > $i ).
tff(c_Message_OsymKeys,type,
c_Message_OsymKeys: $i ).
tff(c_in,type,
c_in: ( $i * $i * $i ) > $o ).
tff(tc_nat,type,
tc_nat: $i ).
tff(c_Event_Oused,type,
c_Event_Oused: $i > $i ).
tff(tc_Message_Omsg,type,
tc_Message_Omsg: $i ).
tff(c_Message_Oparts,type,
c_Message_Oparts: $i > $i ).
tff(c_union,type,
c_union: ( $i * $i * $i ) > $i ).
tff(v_evsf,type,
v_evsf: $i ).
tff(c_Message_OinvKey,type,
c_Message_OinvKey: $i > $i ).
tff(c_insert,type,
c_insert: ( $i * $i * $i ) > $i ).
tff(c_Message_Omsg_OKey,type,
c_Message_Omsg_OKey: $i > $i ).
tff(f_51,axiom,
~ c_in(c_Message_Omsg_OKey(v_K),c_Event_Oused(v_evsf),tc_Message_Omsg),
file(unknown,unknown) ).
tff(f_56,axiom,
( ~ c_in(v_K,c_Message_OkeysFor(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_nat)
| c_in(c_Message_Omsg_OKey(v_K),c_Event_Oused(v_evsf),tc_Message_Omsg) ),
file(unknown,unknown) ).
tff(f_48,axiom,
c_in(v_K,c_Message_OsymKeys,tc_nat),
file(unknown,unknown) ).
tff(f_45,axiom,
! [V_y] :
( ~ c_in(V_y,c_Message_OsymKeys,tc_nat)
| ( c_Message_OinvKey(V_y) = V_y ) ),
file(unknown,unknown) ).
tff(f_52,axiom,
c_in(v_K,c_Message_OkeysFor(c_Message_Oparts(c_insert(v_X,c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf),tc_Message_Omsg))),tc_nat),
file(unknown,unknown) ).
tff(f_47,axiom,
! [V_y,T_a] : ( c_union(V_y,V_y,T_a) = V_y ),
file(unknown,unknown) ).
tff(f_49,axiom,
c_in(v_X,c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_Message_Omsg),
file(unknown,unknown) ).
tff(f_40,axiom,
! [V_K,V_X,V_G,V_H] :
( ~ c_in(V_K,c_Message_OkeysFor(c_Message_Oparts(c_insert(V_X,V_G,tc_Message_Omsg))),tc_nat)
| ~ c_in(V_X,c_Message_Osynth(c_Message_Oanalz(V_H)),tc_Message_Omsg)
| c_in(V_K,c_Message_OkeysFor(c_Message_Oparts(c_union(V_G,V_H,tc_Message_Omsg))),tc_nat)
| c_in(c_Message_Omsg_OKey(c_Message_OinvKey(V_K)),c_Message_Oparts(V_H),tc_Message_Omsg) ),
file(unknown,unknown) ).
tff(f_30,axiom,
! [V_c,V_evs] :
( ~ c_in(V_c,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg)
| c_in(V_c,c_Event_Oused(V_evs),tc_Message_Omsg) ),
file(unknown,unknown) ).
tff(c_14,plain,
~ c_in(c_Message_Omsg_OKey(v_K),c_Event_Oused(v_evsf),tc_Message_Omsg),
inference(cnfTransformation,[status(thm)],[f_51]) ).
tff(c_18,plain,
( c_in(c_Message_Omsg_OKey(v_K),c_Event_Oused(v_evsf),tc_Message_Omsg)
| ~ c_in(v_K,c_Message_OkeysFor(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_nat) ),
inference(cnfTransformation,[status(thm)],[f_56]) ).
tff(c_19,plain,
~ c_in(v_K,c_Message_OkeysFor(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_nat),
inference(negUnitSimplification,[status(thm)],[c_14,c_18]) ).
tff(c_10,plain,
c_in(v_K,c_Message_OsymKeys,tc_nat),
inference(cnfTransformation,[status(thm)],[f_48]) ).
tff(c_29,plain,
! [V_y_12] :
( ( c_Message_OinvKey(V_y_12) = V_y_12 )
| ~ c_in(V_y_12,c_Message_OsymKeys,tc_nat) ),
inference(cnfTransformation,[status(thm)],[f_45]) ).
tff(c_33,plain,
c_Message_OinvKey(v_K) = v_K,
inference(resolution,[status(thm)],[c_10,c_29]) ).
tff(c_16,plain,
c_in(v_K,c_Message_OkeysFor(c_Message_Oparts(c_insert(v_X,c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf),tc_Message_Omsg))),tc_nat),
inference(cnfTransformation,[status(thm)],[f_52]) ).
tff(c_8,plain,
! [V_y_8,T_a_9] : ( c_union(V_y_8,V_y_8,T_a_9) = V_y_8 ),
inference(cnfTransformation,[status(thm)],[f_47]) ).
tff(c_12,plain,
c_in(v_X,c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_Message_Omsg),
inference(cnfTransformation,[status(thm)],[f_49]) ).
tff(c_39,plain,
! [V_K_15,V_H_16,V_G_17,V_X_18] :
( c_in(c_Message_Omsg_OKey(c_Message_OinvKey(V_K_15)),c_Message_Oparts(V_H_16),tc_Message_Omsg)
| c_in(V_K_15,c_Message_OkeysFor(c_Message_Oparts(c_union(V_G_17,V_H_16,tc_Message_Omsg))),tc_nat)
| ~ c_in(V_X_18,c_Message_Osynth(c_Message_Oanalz(V_H_16)),tc_Message_Omsg)
| ~ c_in(V_K_15,c_Message_OkeysFor(c_Message_Oparts(c_insert(V_X_18,V_G_17,tc_Message_Omsg))),tc_nat) ),
inference(cnfTransformation,[status(thm)],[f_40]) ).
tff(c_43,plain,
! [V_K_19,V_G_20] :
( c_in(c_Message_Omsg_OKey(c_Message_OinvKey(V_K_19)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg)
| c_in(V_K_19,c_Message_OkeysFor(c_Message_Oparts(c_union(V_G_20,c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf),tc_Message_Omsg))),tc_nat)
| ~ c_in(V_K_19,c_Message_OkeysFor(c_Message_Oparts(c_insert(v_X,V_G_20,tc_Message_Omsg))),tc_nat) ),
inference(resolution,[status(thm)],[c_12,c_39]) ).
tff(c_2,plain,
! [V_c_1,V_evs_2] :
( c_in(V_c_1,c_Event_Oused(V_evs_2),tc_Message_Omsg)
| ~ c_in(V_c_1,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs_2)),tc_Message_Omsg) ),
inference(cnfTransformation,[status(thm)],[f_30]) ).
tff(c_55,plain,
! [V_K_21,V_G_22] :
( c_in(c_Message_Omsg_OKey(c_Message_OinvKey(V_K_21)),c_Event_Oused(v_evsf),tc_Message_Omsg)
| c_in(V_K_21,c_Message_OkeysFor(c_Message_Oparts(c_union(V_G_22,c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf),tc_Message_Omsg))),tc_nat)
| ~ c_in(V_K_21,c_Message_OkeysFor(c_Message_Oparts(c_insert(v_X,V_G_22,tc_Message_Omsg))),tc_nat) ),
inference(resolution,[status(thm)],[c_43,c_2]) ).
tff(c_60,plain,
! [V_K_23] :
( c_in(c_Message_Omsg_OKey(c_Message_OinvKey(V_K_23)),c_Event_Oused(v_evsf),tc_Message_Omsg)
| c_in(V_K_23,c_Message_OkeysFor(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_nat)
| ~ c_in(V_K_23,c_Message_OkeysFor(c_Message_Oparts(c_insert(v_X,c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf),tc_Message_Omsg))),tc_nat) ),
inference(superposition,[status(thm),theory(equality)],[c_8,c_55]) ).
tff(c_63,plain,
( c_in(c_Message_Omsg_OKey(c_Message_OinvKey(v_K)),c_Event_Oused(v_evsf),tc_Message_Omsg)
| c_in(v_K,c_Message_OkeysFor(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_nat) ),
inference(resolution,[status(thm)],[c_16,c_60]) ).
tff(c_65,plain,
( c_in(c_Message_Omsg_OKey(v_K),c_Event_Oused(v_evsf),tc_Message_Omsg)
| c_in(v_K,c_Message_OkeysFor(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_nat) ),
inference(demodulation,[status(thm),theory(equality)],[c_33,c_63]) ).
tff(c_67,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_19,c_14,c_65]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SWV338-2 : TPTP v9.0.0. Released v3.2.0.
% 0.07/0.14 % Command : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox2/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox2/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% 0.15/0.35 % Computer : n004.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Wed Apr 9 03:04:52 EDT 2025
% 0.15/0.35 % CPUTime :
% 2.86/1.72 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.86/1.72
% 2.86/1.72 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------